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Popular >

e^{2k}-e^k-6=0

Solution

e^{2 k} - e^{k} - 6 = 0

Solution

k = ln (3)

+1

Decimal Notation

k = 1.09861 \dots

Solution steps

e^{2 k} - e^{k} - 6 = 0

Apply exponent rules

(e^{k})^{2} - e^{k} - 6 = 0

Rewrite the equation with

e^{k} = u

(u)^{2} - u - 6 = 0

Solve

u^{2} - u - 6 = 0 : u = 3, u = - 2

u = 3, u = - 2

Substitute back

u = e^{k},

solve for

k

Solve

e^{k} = 3 : k = ln (3)

Solve

e^{k} = - 2 :

No Solution for

k \in R

k = ln (3)

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(7)^{- 1} \cdot (7)^{3 k + 2} = \frac{( 7 ) ^{15}}{( ( 7 ) ^{8} )}

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solvefor x,(x/(10))-a*e^{-x/((r*t))}=0 solve for

x, (\frac{x}{10}) - a \cdot e^{- \frac{x}{( r \cdot t )}} = 0

n = 1 + (\frac{9}{10})^{n}

Frequently Asked Questions (FAQ)

What is the answer to e^{2k}-e^k-6=0 ?
The answer to e^{2k}-e^k-6=0 is k=ln(3)